8. SSC CGL 2023 

Exam Date 17/07/2023 

Exam Time 2:30 PM - 3:30 PM 

Quantitative Aptitude 

Q.1 If a cot θ + b cosec θ = p and b cot θ + a cosec θ = q then p2 – q2 is equal to . 

1. b – a 

2. A2 – b2 

3. b2 – a2 

4. A2 – b2 

Q.2 If $x+\frac{1}{x}=-6$, What will be the value of ${{x}^{5}}+\frac{1}{{{x}^{5}}}?$? 

1. –6726 

2. –7776 

3. –6738 

4. –6732

Q.3 What is the radius of circle which circumscribes the triangle ABC whose sides are 16, 30, 34 units, respectively? 

1. 17 units 

2. 16 units 

3. 28 units 

4. 34 units 

Q.4 One quality of rice at ₹45 per kg is mixed with another quality at a certain rate in the ratio of 3 : 2. If the mixture so formed is worth ₹50 per kg, what is the rate per kg of the second quality of rice? 

1. ₹58.5 

2. ₹57 

3. ₹58 

4. ₹57.5 

Q.5 The product of 277 and 323 is: 

1. 88471 

2. 89471 

3. 89391 

4. 91371 

Q.6 Find the area of the sector of a circle with radius 5 cm and angle 60° (rounded off to one decimal). 

1. 12.8 cm2 

2. 15.1 cm2 

3. 14.1 cm2 

4. 13.1 cm2 

Q.7 What is the value of the given expression? 

(a + b + c)2 – a2 – b2 – c2 

1. 2(ab + bc + ca) 

2. 2abc 

3. 2ab + bc − 2ca 

4. 2(a + b + c) 

Q.8 Pratima and Diksha can complete a typing work separately in 10 hours and 15 hours, respectively. After typing for 4 hours alone, Pratima leaves the work. In how many hours will Diksha complete the remaining typing work? 

1. 7 

2. 9 

3. 8 

4. 10 

Q.9 A man is walking at a speed of 14 km/h. After every km, he takes rest for 7 minutes. How much time will he take to cover a distance of 7 km? 

1. $\frac{1}{5}$ Hours 

2. $2\frac{1}{3}$ Hours 

3. $1\frac{1}{3}$ Hours 

4. $1\frac{1}{5}$ Hours 

Q.10 Solve the following expression. 

(−25) × 8 + (−25) × 2 

1. −250 

2. 250 

3. 210 

4. −210 

Q.11 A constable Ram is 225 m behind a thief Somesh. Ram runs 50 m and Somesh runs 30 m in a minute. At what time will the constable Ram catch the thief Somesh? 

1. 16 minutes 10 seconds 

2. 15 minutes 11 seconds 

3. 11 minutes 15 seconds 

4. 10 minutes 16 seconds 

Q.12 Study the given table and answer the question that follows. 

The table shows the classification of 100 students based on the marks obtained by them in Statistics and Mathematics in an examination out of 50. 

If at least 60% marks in Mathematics are required for pursuing higher studies in Mathematics, then how many students will be eligible to pursue higher studies in Mathematics? 

1. 10 

2. 90 

3. 33 

4. 27

Q.13 12 men and 16 boys can do a piece of work in 5 days, while 13 men and 24 boys can do it in 4 days. In how many days can 29 men and 22 boys complete the work? 

  1. 2.6 

2. 2.45 

3. 2.4 

4. 2.5 

Q.14 What is the volume of a cube if the perimeter of one face of the cube is 40 cm? 

1. 600 cm3 

2. 1000 cm3 

3. 820 cm3 

4. 800 cm3 

Q.15 After allowing a discount of 15%, the value of a washing machine is ₹29,750. If no discount is allowed, then the shopkeeper gains 12%. The cost price of the washing machine is: 

1. ₹31,500 

2. ₹31,750 

3. ₹32,000 

4. ₹31,250 

Q.16 A table was bought for ₹3,000 and sold for ₹3,200. Find the gain or loss in terms of money. 

1. Gain ₹200 

2. Loss ₹150 

3. Gain ₹100 

4. Loss ₹200 

Q.17 If $coxx=-\frac{1}{2}$, x lies in third quadrant, then tanx = ? 

1. $\frac{\sqrt{3}}{2}$ 

2. $\frac{1}{\sqrt{3}}$ 

3. $\sqrt{3}$ 

4. $\frac{2}{\sqrt{3}}$ 

Q.18 Using cos(A + B) = cosA cosB – sinA sinB, find the value of cos75°. 

1. $\frac{\sqrt{5}+1}{4}$ 

2. $\frac{\sqrt{6}-\sqrt{2}}{4}$ 

3. $\frac{\sqrt{6}+\sqrt{2}}{4}$ 

4. $\frac{\sqrt{5}-1}{4}$ 

Q.19 A bag contains ₹550 in the form of 50 p, 25 p and 20 p coins in the ratio 2 : 3 : 5. The difference between the amounts that are contributed by the 50 p and the 20 p coins is: 

1. ₹30 

2. ₹20 

3. ₹10 

4. ₹0 

Q.20 How many of the following numbers are divisible by 132? 

660, 754, 924, 1452, 1526, 1980, 2045 and 2170 

1. 4 

2. 6 

3. 3 

4. 5 

Q.21 The distance between the centres of two circles having radii 16 cm and 8 cm, is 26 cm. The length (in cm) of the direct common tangent of the two circles is: 

1. $2\sqrt{153}$ 

2. $2\sqrt{132}$ 

3. $\sqrt{153}$ 

4. $\sqrt{132}$ 

Q.22 The following table gives the information of the number of students (in thousands) placed in five different companies during six different years. 

What is the difference (in thousands) between the students placed in all companies in the year 2014 and 2012? 

1. 8200 

2. 7800 

3. 7500 

4. 9000 

Q.23 In a constituency, 90% of the total number of people on the electoral roll cast their votes during an election. 15% of the votes cast were declared invalid. Jeeta secured 60% of the valid votes. If Jeeta secured 91,800 valid votes, what was the total number of people on the electoral roll? 

1. 2,25,000 

2. 2,00,000 

3. 1,80,000 

4. 2,16,000 

Q.24 A person took a loan at 5% per annum simple interest during the first year and with an increase of 0.5% simple interest every year from the second year onwards. After 4 years, he paid ₹4,600 as a total interest to settle the loan completely. How much was the loan? 

1. ₹21,000 

2. ₹19,000 

3. ₹20,000 

4. ₹18,000 

Q.25 Sarthak and Mohan have been assigned a work to design a room for a ceremony, Sarthak can design the entire room in 12 days, while Mohan can design the room in 15 days. In how many days will the work be completed if they work together? (Rounded off to 2 decimal places) 

1. 6.67 

2. 7.33 

3. 6.00 

4. 5.67